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Finding the Third Proportional to 30,434 and 70,708

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Solution

The third proportional to 30,434 and 70,708 is: 164,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434 : 70,708 = 70,708 : x
  2. Step 2: Convert to fraction form
    30,434/70,708 = 70,708/x
  3. Step 3: Cross multiply
    30,434x = 70,708 × 70,708
  4. Step 4: Simplify right side
    30,434x = 4,999,621,264
  5. Step 5: Solve for x
    x = 4,999,621,264/30,434
  6. Step 6: Final answer
    x = 164,277.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.